Message Boards Message Boards

A system of linear higher-order of differential equations takes too long

Marcin Kujawa
Posted 1 year ago

Hello, I am trying to solve a system of differential equations as below

Unfortunately it takes too long and puts a lot of strain on the computer. Could someone advise me how to do it to make it optimal. Maybe one of you could try to solve this problem on your computer? Kind regards Marcin

Attachments:
ukl_row_roz_rozw.nb
POSTED BY: Marcin Kujawa
5 Replies
Sort By:
Marcin Kujawa
Marcin Kujawa
Posted 1 year ago

If I manage to solve the problem I will let you know ;-) I will do it maybe in a slightly different/engineering way not directly but I will do it strict.

POSTED BY: Marcin Kujawa
Marcin Kujawa
Marcin Kujawa
Posted 1 year ago

I didn't like the hint ;-) I need a close/analytical solution. Thank you for your interest.
POSTED BY: Marcin Kujawa

Many ODEs do not have symbolic solutions in terms of commonly defined functions. The ODE in the question probably falls in that category. However, it should be noted that DSolve sometimes is unable to solve ODEs that do have symbolic solutions in terms of commonly defined functions.
POSTED BY: Mariusz Iwaniuk
Marcin Kujawa
Marcin Kujawa
Posted 1 year ago

In fact, this system of equations cannot be solved using Mathematica.

POSTED BY: Marcin Kujawa

Maple 2022.2 can solve, but you won't like the answer.

See attached PDF file.

Attachments:
Diff equation.pdf
POSTED BY: Mariusz Iwaniuk
Reply to this discussion
Community posts can be styled and formatted using the Markdown syntax.
Tag limit exceeded
Note: Only the first five people you tag will receive an email notification; the other tagged names will appear as links to their profiles.
Reply Preview
Attachments
Remove
or Discard

Group Abstract Group Abstract